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Finding the Fourth Proportional to 1,105.14, 1,658.56 and 585.74

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Solution

The fourth proportional to 1,105.14, 1,658.56 and 585.74 is: 879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.14 : 1,658.56 = 585.74 : x
  2. Step 2: Convert to fraction form
    1,105.14/1,658.56 = 585.74/x
  3. Step 3: Cross multiply
    1,105.14x = 1,658.56 × 585.74
  4. Step 4: Simplify right side
    1,105.14x = 971,484.93
  5. Step 5: Solve for x
    x = 971,484.93/1,105.14
  6. Step 6: Final answer
    x = 879.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.